Electromagnetic waves, solving the full set of Maxwell equationsin vacuum, are numerically computed. These waves occupy a fixedbounded region of the three dimensional space, topologicallyequivalent to a toroid. Thus, their fluid dynamics analogs arevortex rings. An analysis of the shape of the sections of therings, depending on the angular speed of rotation and the majordiameter, is carried out. Successively, spherical electromagneticvortex rings of Hill's type are taken into consideration. For someinteresting peculiar configurations, explicit numerical solutionsare exhibited.
Rotating Electromagnetic Waves in Toroid-Shaped Regions / C., Chinosi; L., Della Croce; Funaro, Daniele. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS C. - ISSN 0129-1831. - STAMPA. - 21:1(2010), pp. 11-32. [10.1142/S0129183110014926]
Rotating Electromagnetic Waves in Toroid-Shaped Regions
FUNARO, Daniele
2010
Abstract
Electromagnetic waves, solving the full set of Maxwell equationsin vacuum, are numerically computed. These waves occupy a fixedbounded region of the three dimensional space, topologicallyequivalent to a toroid. Thus, their fluid dynamics analogs arevortex rings. An analysis of the shape of the sections of therings, depending on the angular speed of rotation and the majordiameter, is carried out. Successively, spherical electromagneticvortex rings of Hill's type are taken into consideration. For someinteresting peculiar configurations, explicit numerical solutionsare exhibited.
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